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Finding the Fourth Proportional to 32,138.48, 48,209.11 and 9,952.31

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Solution

The fourth proportional to 32,138.48, 48,209.11 and 9,952.31 is: 14,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.48 : 48,209.11 = 9,952.31 : x
  2. Step 2: Convert to fraction form
    32,138.48/48,209.11 = 9,952.31/x
  3. Step 3: Cross multiply
    32,138.48x = 48,209.11 × 9,952.31
  4. Step 4: Simplify right side
    32,138.48x = 479,792,103.19
  5. Step 5: Solve for x
    x = 479,792,103.19/32,138.48
  6. Step 6: Final answer
    x = 14,928.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.